Introduction to Algebraic Topology

Kundu, Deep (2017) Introduction to Algebraic Topology. Masters thesis, Indian Institute of Technology.

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Abstract

In this report we discuss the basic concepts and the need of studying Algebraic Topology. We cover the idea of fundamental groups in detail and use it to prove some important results like the Brouwer’s Fixed point theorem. Finally we set our- selves up for a major result of this field namely The Seifert Van Kampen Theorem. In the next part of the thesis we discuss about the homology groups which over- comes some the shortcomings of the fundamental groups, specifically distinguish- ing between higher dimensional surfaces.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Thesis (Masters)
Uncontrolled Keywords: Fundamental group, homology groups, TD812
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 06 Jun 2017 11:41
Last Modified: 06 Jun 2017 11:41
URI: http://raiith.iith.ac.in/id/eprint/3196
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